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Finding the Fourth Proportional to 443.25, 665.03 and 321.30

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Solution

The fourth proportional to 443.25, 665.03 and 321.30 is: 482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.25 : 665.03 = 321.30 : x
  2. Step 2: Convert to fraction form
    443.25/665.03 = 321.30/x
  3. Step 3: Cross multiply
    443.25x = 665.03 × 321.30
  4. Step 4: Simplify right side
    443.25x = 213,674.94
  5. Step 5: Solve for x
    x = 213,674.94/443.25
  6. Step 6: Final answer
    x = 482.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.